%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL003-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:37:33 AM UTC 2026
% Result : Unsatisfiable 7.54s 1.75s
% Output : Refutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 87 ( 50 unt; 18 def)
% Number of atoms : 181 ( 63 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 184 ( 90 ~; 85 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-4 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f3,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).
fof(f4,axiom,
! [X0] : ifeq(apply(X0,fixed_pt),apply(fixed_pt,apply(X0,fixed_pt)),fixed_point(X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f5,plain,
! [X0] : true = ifeq(apply(X0,fixed_pt),apply(fixed_pt,apply(X0,fixed_pt)),fixed_point(X0),true),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b)) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f7,plain,
true != fixed_point(apply(apply(b,apply(apply(b,apply(w,w)),apply(apply(b,apply(b,w)),b))),b)),
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF0 = apply(w,w),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f9,plain,
apply(w,w) = sF0,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF1 = apply(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
apply(b,sF0) = sF1,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF2 = apply(b,w),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f13,plain,
apply(b,w) = sF2,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF3 = apply(b,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f15,plain,
apply(b,sF2) = sF3,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF4 = apply(sF3,b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f17,plain,
apply(sF3,b) = sF4,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF5 = apply(sF1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f19,plain,
apply(sF1,sF4) = sF5,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF6 = apply(b,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f21,plain,
apply(b,sF5) = sF6,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF7 = apply(sF6,b),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f23,plain,
apply(sF6,b) = sF7,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF8 = fixed_point(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f25,plain,
fixed_point(sF7) = sF8,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
true != sF8,
inference(definition_folding,[],[f7,f25,f23,f21,f19,f17,f15,f13,f11,f9]) ).
fof(f29,definition,
( spl9_1
<=> fixed_point(sF7) = sF8 ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f31,plain,
( fixed_point(sF7) = sF8
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f32,plain,
spl9_1,
inference(avatar_split_clause,[],[f25,f29]) ).
fof(f33,plain,
( true = ifeq(apply(sF7,fixed_pt),apply(fixed_pt,apply(sF7,fixed_pt)),sF8,true)
| ~ spl9_1 ),
inference(superposition,[],[f5,f31]) ).
fof(f35,plain,
! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2),
inference(superposition,[],[f3,f2]) ).
fof(f39,plain,
! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0),
inference(superposition,[],[f3,f3]) ).
fof(f44,plain,
! [X0] : apply(apply(X0,X0),X0) = apply(sF0,X0),
inference(forward_demodulation,[],[f39,f9]) ).
fof(f47,definition,
( spl9_2
<=> true = sF8 ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f49,plain,
( true != sF8
| spl9_2 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,plain,
~ spl9_2,
inference(avatar_split_clause,[],[f26,f47]) ).
fof(f64,definition,
( spl9_4
<=> apply(b,w) = sF2 ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f66,plain,
( apply(b,w) = sF2
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f67,plain,
spl9_4,
inference(avatar_split_clause,[],[f13,f64]) ).
fof(f68,plain,
( ! [X0,X1] : apply(w,apply(X0,X1)) = apply(apply(sF2,X0),X1)
| ~ spl9_4 ),
inference(superposition,[],[f2,f66]) ).
fof(f71,definition,
( spl9_5
<=> apply(b,sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
fof(f73,plain,
( apply(b,sF0) = sF1
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f74,plain,
spl9_5,
inference(avatar_split_clause,[],[f11,f71]) ).
fof(f75,plain,
( ! [X0,X1] : apply(sF0,apply(X0,X1)) = apply(apply(sF1,X0),X1)
| ~ spl9_5 ),
inference(superposition,[],[f2,f73]) ).
fof(f78,definition,
( spl9_6
<=> apply(sF6,b) = sF7 ),
introduced(definition,[new_symbols(definition,[spl9_6])],[avatar_definition]) ).
fof(f80,plain,
( apply(sF6,b) = sF7
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,plain,
spl9_6,
inference(avatar_split_clause,[],[f23,f78]) ).
fof(f83,definition,
( spl9_7
<=> apply(sF1,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).
fof(f85,plain,
( apply(sF1,sF4) = sF5
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
spl9_7,
inference(avatar_split_clause,[],[f19,f83]) ).
fof(f88,definition,
( spl9_8
<=> apply(b,sF2) = sF3 ),
introduced(definition,[new_symbols(definition,[spl9_8])],[avatar_definition]) ).
fof(f90,plain,
( apply(b,sF2) = sF3
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
spl9_8,
inference(avatar_split_clause,[],[f15,f88]) ).
fof(f92,plain,
( ! [X0,X1] : apply(sF2,apply(X0,X1)) = apply(apply(sF3,X0),X1)
| ~ spl9_8 ),
inference(superposition,[],[f2,f90]) ).
fof(f95,definition,
( spl9_9
<=> apply(b,sF5) = sF6 ),
introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).
fof(f97,plain,
( apply(b,sF5) = sF6
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
spl9_9,
inference(avatar_split_clause,[],[f21,f95]) ).
fof(f99,plain,
( ! [X0,X1] : apply(sF5,apply(X0,X1)) = apply(apply(sF6,X0),X1)
| ~ spl9_9 ),
inference(superposition,[],[f2,f97]) ).
fof(f111,definition,
( spl9_10
<=> apply(sF3,b) = sF4 ),
introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).
fof(f113,plain,
( apply(sF3,b) = sF4
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,plain,
spl9_10,
inference(avatar_split_clause,[],[f17,f111]) ).
fof(f115,plain,
( ! [X0] : apply(sF0,apply(sF4,X0)) = apply(sF5,X0)
| ~ spl9_5
| ~ spl9_7 ),
inference(superposition,[],[f75,f85]) ).
fof(f131,plain,
( ! [X0] : apply(sF4,X0) = apply(sF2,apply(b,X0))
| ~ spl9_8
| ~ spl9_10 ),
inference(superposition,[],[f92,f113]) ).
fof(f146,plain,
( ! [X0,X1] : apply(w,apply(apply(b,X0),X1)) = apply(apply(sF4,X0),X1)
| ~ spl9_4
| ~ spl9_8
| ~ spl9_10 ),
inference(superposition,[],[f68,f131]) ).
fof(f148,plain,
( ! [X2,X0,X1] : apply(apply(X0,apply(X1,X2)),X2) = apply(apply(apply(sF4,X0),X1),X2)
| ~ spl9_4
| ~ spl9_8
| ~ spl9_10 ),
inference(backward_demodulation,[],[f35,f146]) ).
fof(f191,plain,
( ! [X2,X0,X1] : apply(X0,apply(apply(X1,X2),X2)) = apply(apply(apply(sF4,apply(b,X0)),X1),X2)
| ~ spl9_4
| ~ spl9_8
| ~ spl9_10 ),
inference(superposition,[],[f2,f148]) ).
fof(f265,plain,
( ! [X0] : apply(sF0,apply(sF4,apply(b,X0))) = apply(X0,apply(sF0,apply(sF4,apply(b,X0))))
| ~ spl9_4
| ~ spl9_8
| ~ spl9_10 ),
inference(superposition,[],[f191,f44]) ).
fof(f309,plain,
( ! [X0] : apply(sF5,apply(b,X0)) = apply(X0,apply(sF5,apply(b,X0)))
| ~ spl9_4
| ~ spl9_5
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10 ),
inference(forward_demodulation,[],[f265,f115]) ).
fof(f562,plain,
( ! [X0] : apply(sF5,apply(b,X0)) = apply(sF7,X0)
| ~ spl9_6
| ~ spl9_9 ),
inference(superposition,[],[f99,f80]) ).
fof(f589,plain,
( ! [X0] : apply(sF7,X0) = apply(X0,apply(sF7,X0))
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_9
| ~ spl9_10 ),
inference(backward_demodulation,[],[f309,f562]) ).
fof(f590,plain,
( true = ifeq(apply(sF7,fixed_pt),apply(sF7,fixed_pt),sF8,true)
| ~ spl9_1
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_9
| ~ spl9_10 ),
inference(backward_demodulation,[],[f33,f589]) ).
fof(f591,plain,
( true = sF8
| ~ spl9_1
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_9
| ~ spl9_10 ),
inference(forward_demodulation,[],[f590,f1]) ).
fof(f592,plain,
( $false
| ~ spl9_1
| spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_9
| ~ spl9_10 ),
inference(forward_subsumption_resolution,[],[f591,f49]) ).
fof(f593,plain,
( ~ spl9_1
| spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_9
| ~ spl9_10 ),
inference(avatar_contradiction_clause,[],[f592]) ).
cnf(s1,plain,
spl9_1,
inference(sat_conversion,[],[f32]) ).
cnf(s2,plain,
~ spl9_2,
inference(sat_conversion,[],[f50]) ).
cnf(s4,plain,
spl9_4,
inference(sat_conversion,[],[f67]) ).
cnf(s5,plain,
spl9_5,
inference(sat_conversion,[],[f74]) ).
cnf(s6,plain,
spl9_6,
inference(sat_conversion,[],[f81]) ).
cnf(s7,plain,
spl9_7,
inference(sat_conversion,[],[f86]) ).
cnf(s8,plain,
spl9_8,
inference(sat_conversion,[],[f91]) ).
cnf(s9,plain,
spl9_9,
inference(sat_conversion,[],[f98]) ).
cnf(s10,plain,
spl9_10,
inference(sat_conversion,[],[f114]) ).
cnf(s11,plain,
( ~ spl9_1
| spl9_2
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_9
| ~ spl9_10 ),
inference(sat_conversion,[],[f593]) ).
cnf(s12,plain,
~ spl9_1,
inference(rat,[],[s11,s10,s9,s8,s7,s6,s5,s4,s2]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s12]) ).
fof(f594,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL003-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n016.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:33:33 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.54/1.75 % (4042476)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.54/1.75 % (4042484)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=402944418:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 7.54/1.75 % (4042481)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=792012895:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 7.54/1.75 % (4042485)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2676223125:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 7.54/1.75 % (4042483)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1957866278:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 7.54/1.75 % (4042482)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1351107489:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 7.54/1.75 % (4042487)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2954968844:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 7.54/1.75 % (4042486)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2398928280:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 7.54/1.75 % (4042484)Instruction limit reached!
% 7.54/1.75 % (4042484)------------------------------
% 7.54/1.75 % (4042484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.75 % (4042484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.75 % (4042484)CaDiCaL version: 2.1.3
% 7.54/1.75 % (4042484)Termination reason: Instruction limit
% 7.54/1.75 % (4042484)Termination phase: Saturation
% 7.54/1.75 % (4042484)Time elapsed: 0.046 s
% 7.54/1.75 % (4042484)Peak memory usage: 89 MB
% 7.54/1.75 % (4042484)Instructions burned: 139 (million)
% 7.54/1.75 % (4042485)Instruction limit reached!
% 7.54/1.75 % (4042485)------------------------------
% 7.54/1.75 % (4042485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.75 % (4042485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.75 % (4042485)CaDiCaL version: 2.1.3
% 7.54/1.75 % (4042485)Termination reason: Instruction limit
% 7.54/1.75 % (4042485)Termination phase: Saturation
% 7.54/1.75 % (4042485)Time elapsed: 0.101 s
% 7.54/1.75 % (4042485)Peak memory usage: 89 MB
% 7.54/1.75 % (4042485)Instructions burned: 182 (million)
% 7.54/1.75 % (4042495)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2491656639:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 7.54/1.75 % (4042486)Instruction limit reached!
% 7.54/1.75 % (4042486)------------------------------
% 7.54/1.75 % (4042486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.75 % (4042486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.75 % (4042486)CaDiCaL version: 2.1.3
% 7.54/1.75 % (4042486)Termination reason: Instruction limit
% 7.54/1.75 % (4042486)Termination phase: Saturation
% 7.54/1.75 % (4042486)Time elapsed: 0.162 s
% 7.54/1.75 % (4042486)Peak memory usage: 91 MB
% 7.54/1.75 % (4042486)Instructions burned: 258 (million)
% 7.54/1.75 % (4042496)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2394233790:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 7.54/1.75 % (4042498)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=480459524:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 7.54/1.75 % (4042498)Instruction limit reached!
% 7.54/1.75 % (4042498)------------------------------
% 7.54/1.75 % (4042498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.75 % (4042498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.75 % (4042498)CaDiCaL version: 2.1.3
% 7.54/1.75 % (4042498)Termination reason: Instruction limit
% 7.54/1.75 % (4042498)Termination phase: Saturation
% 7.54/1.75 % (4042498)Time elapsed: 0.110 s
% 7.54/1.75 % (4042498)Peak memory usage: 88 MB
% 7.54/1.75 % (4042498)Instructions burned: 216 (million)
% 7.54/1.75 % (4042501)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2731905255:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 7.54/1.75 % (4042487)Instruction limit reached!
% 7.54/1.75 % (4042487)------------------------------
% 7.54/1.75 % (4042487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.75 % (4042487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.75 % (4042487)CaDiCaL version: 2.1.3
% 7.54/1.75 % (4042487)Termination reason: Instruction limit
% 7.54/1.75 % (4042487)Termination phase: Saturation
% 7.54/1.75 % (4042487)Time elapsed: 0.619 s
% 7.54/1.75 % (4042487)Peak memory usage: 95 MB
% 7.54/1.75 % (4042487)Instructions burned: 1188 (million)
% 7.54/1.75 % (4042481)First to succeed.
% 7.54/1.75 % (4042481)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4042476"
% 7.54/1.75 % (4042483)Also succeeded, but the first one will report.
% 7.54/1.75 % (4042501)Instruction limit reached!
% 7.54/1.75 % (4042501)------------------------------
% 7.54/1.75 % (4042501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.75 % (4042501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.75 % (4042501)CaDiCaL version: 2.1.3
% 7.54/1.75 % (4042501)Termination reason: Instruction limit
% 7.54/1.75 % (4042501)Termination phase: Saturation
% 7.54/1.75 % (4042501)Time elapsed: 0.198 s
% 7.54/1.75 % (4042501)Peak memory usage: 94 MB
% 7.54/1.75 % (4042501)Instructions burned: 318 (million)
% 7.54/1.75 % (4042503)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3675291978:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 7.54/1.75 % (4042495)Instruction limit reached!
% 7.54/1.75 % (4042495)------------------------------
% 7.54/1.75 % (4042495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.75 % (4042495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.75 % (4042495)CaDiCaL version: 2.1.3
% 7.54/1.75 % (4042495)Termination reason: Instruction limit
% 7.54/1.75 % (4042495)Termination phase: Saturation
% 7.54/1.75 % (4042495)Time elapsed: 0.723 s
% 7.54/1.75 % (4042495)Peak memory usage: 139 MB
% 7.54/1.75 % (4042495)Instructions burned: 2053 (million)
% 7.54/1.75 % (4042481)Refutation found. Thanks to Tanya!
% 7.54/1.75 % SZS status Unsatisfiable for theBenchmark
% 7.54/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 8.44/1.95 % (4042481)------------------------------
% 8.44/1.95 % (4042481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/1.95 % (4042481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.95 % (4042481)CaDiCaL version: 2.1.3
% 8.44/1.95 % (4042481)Termination reason: Refutation
% 8.44/1.95 % (4042481)Time elapsed: 0.675 s
% 8.44/1.95 % (4042481)Peak memory usage: 128 MB
% 8.44/1.95 % (4042481)Instructions burned: 1027 (million)
% 8.44/1.95 % (4042481)------------------------------
% 8.44/1.95 % (4042481)------------------------------
% 8.44/1.95 % (4042476)Success in time 1.107 s
% 8.44/1.95 % Vampire exiting
%------------------------------------------------------------------------------